Deployable scissor structures are capable of large geometric transformations between predefined configurations thanks to their extension and rotation properties. These structures are formed by connecting translational, polar or angulated units that are composed of scissor-like elements. The studies especially on the angulated scissor structures mostly concentrate on developing certain types of planar or spatial structures; thus, they do not present a systematic form-finding method for different types of angulated units lying on different path-curves. This paper aims to introduce two design methods including geometrical method based on drawings and analytical method based on mathematical equations both for generating various angulated scissor structures and facilitating the design of asymmetric and polycentric structures. First, basic design principles of the angulated scissor structures are investigated. Then, proper solutions are proposed to design such planar structures using both geometrical and analytical methods. Various planar angulated scissor structures are generated lying on monocentric and polycentric curves or straight-line in the deployed, fully deployed, and undeployed configurations. Finally, a case study as a numerical model of a sunshade with monocentric curve is presented.

由于其延伸和旋转特性，可展开的剪刀结构能够在预定义配置之间进行大的几何变换。这些结构是通过连接由剪刀状元件组成的平移、极性或成角单元形成的。尤其是对角剪刀结构的研究主要集中在发展某些类型的平面或空间结构；因此，他们没有为位于不同路径曲线上的不同类型的成角单元提供系统的找形方法。本文旨在介绍两种设计方法，包括基于图纸的几何方法和基于数学方程的解析方法，用于生成各种有角度的剪刀结构并促进非对称和多中心结构的设计。第一的，研究了成角剪刀结构的基本设计原则。然后，提出了使用几何和解析方法设计此类平面结构的适当解决方案。在展开、完全展开和未展开配置中，在单中心和多中心曲线或直线上生成各种平面成角剪刀结构。最后，介绍了具有单中心曲线的遮阳罩数值模型的案例研究。